225973644 has 48 divisors (see below), whose sum is σ = 569522688. Its totient is φ = 69323328.

The previous prime is 225973619. The next prime is 225973651. The reversal of 225973644 is 446379522.

It is a junction number, because it is equal to n+sod(n) for n = 225973596 and 225973605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55279 + ... + 59225.

It is an arithmetic number, because the mean of its divisors is an integer number (11865056).

Almost surely, 2^225973644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225973644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284761344).

225973644 is an abundant number, since it is smaller than the sum of its proper divisors (343549044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225973644 is a wasteful number, since it uses less digits than its factorization.

225973644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4332 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 225973644 is about 15032.4197652939. The cubic root of 225973644 is about 609.0962555570.

The spelling of 225973644 in words is "two hundred twenty-five million, nine hundred seventy-three thousand, six hundred forty-four".